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by ssl-3
14 days ago
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I do simple math like that in my head all the time, despite having had special permission to use a calculator in school. It was the same back then: Some quick mental math was often faster than using a calculator, so that's what I used first. The calculator came second. I reject all notions that these are mutually-exclusive concepts. |
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Agreed; just because I "rarely" pull out the calculator doesn't mean I never use it. Sometimes my wife asks me "If this cake recipe calls for filling a 9-inch pan with batter, and makes 3 layers, but I have an 8.5-inch pan and I'm making two layers, then how much should I reduce the recipe?" The π terms cancel each other out in that math, but I still can't do (4.25×4.25×2) / (4.5×4.5×3) in my head faster than I can punch it into the calculator. (It comes out to about 0.59, BTW, meaning she should use either half or two-thirds of the recipe depending on if she wants a slightly thinner or thicker cake).
Bringing this back to the broader LLM-related discussion, the lesson I took away from the Fable kerfluffle was "the model will usually, but not always, be available." You might have an Internet connection hiccup, you might have hit your subscription usage credits for the week and not be willing to pay API pricing, the model might even be taken away from you. (Most of which are problems you won't face if you run a local model, but that's a different discussion). So just as it's important to learn mental math even when you have a calculator as backup, it's important to retain the skill to solve many categories of problems without the LLM, even if you still reach for the LLM for the categories of problems that it can solve faster than you can.